Equation for Slope of Line Calculator

✖Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.ⓘ Discharge [Q]			+10% -10%
✖Transmissibility is most simply defined as the effective hydraulic conductivity of an aquifer or other water-bearing unit multiplied by the thickness of that unit.ⓘ Transmissibility [T]			+10% -10%

✖Slope represents a straight line when plot of residual drawdown s' vs t/t' on semi-log paper.ⓘ Equation for Slope of Line [m]

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Formula

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Equation for Slope of Line

Formula

`"m" = 2.302*"Q"/(4*pi*"T")`

Example

`"0.157018"=2.302*"3.0m³/s"/(4*pi*"3.5m²/s")`

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Equation for Slope of Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope = 2.302*Discharge/(4*pi*Transmissibility)
m = 2.302*Q/(4*pi*T)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Slope - Slope represents a straight line when plot of residual drawdown s' vs t/t' on semi-log paper.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.
Transmissibility - (Measured in Square Meter per Second) - Transmissibility is most simply defined as the effective hydraulic conductivity of an aquifer or other water-bearing unit multiplied by the thickness of that unit.

STEP 1: Convert Input(s) to Base Unit

Discharge: 3 Cubic Meter per Second --> 3 Cubic Meter per Second No Conversion Required
Transmissibility: 3.5 Square Meter per Second --> 3.5 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = 2.302*Q/(4*pi*T) --> 2.302*3/(4*pi*3.5)

Evaluating ... ...

m = 0.157017719570376

STEP 3: Convert Result to Output's Unit

0.157017719570376 --> No Conversion Required

FINAL ANSWER

0.157017719570376 ≈ 0.157018 <-- Slope

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Recovery of Piezometric Head » Equation for Slope of Line

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< 5 Recovery of Piezometric Head Calculators

Equation for Residual Drawdown for small values of Distance and large values of Time

Go Residual Drawdown = (2.302*Discharge/4*pi*Transmissibility)*log10(Time from start of pump/Time since Stoppage of Pumping)

Equation for Residual Drawdown

Go Residual Drawdown = (Discharge/4*pi*Transmissibility)*(Well Function of u-Well Function after the Cessation of Pumping)

Transmissibility about straight-line slope

Go Transmissibility = 2.302*Discharge/(4*pi*Slope)

Equation for Slope of Line

Go Slope = 2.302*Discharge/(4*pi*Transmissibility)

Discharge about straight-line slope

Go Discharge = 4*pi*Transmissibility*Slope/2.302

Equation for Slope of Line Formula

Slope = 2.302*Discharge/(4*pi*Transmissibility)
m = 2.302*Q/(4*pi*T)

What is Transmissivity in hydrology?

Transmissivity describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness . Transmissivity is measured as the rate at which groundwater can flow through an aquifer section of unit width under a unit hydraulic gradient.

How to Calculate Equation for Slope of Line?

Equation for Slope of Line calculator uses Slope = 2.302*Discharge/(4*pi*Transmissibility) to calculate the Slope, Equation for Slope of Line is defined from the plot of residual drawdown against the ratio of time of pumping and time since stoppage of pumping on semi-log. Slope is denoted by m symbol.

How to calculate Equation for Slope of Line using this online calculator? To use this online calculator for Equation for Slope of Line, enter Discharge (Q) & Transmissibility (T) and hit the calculate button. Here is how the Equation for Slope of Line calculation can be explained with given input values -> 0.157018 = 2.302*3/(4*pi*3.5).

FAQ

What is Equation for Slope of Line?

Equation for Slope of Line is defined from the plot of residual drawdown against the ratio of time of pumping and time since stoppage of pumping on semi-log and is represented as m = 2.302*Q/(4*pi*T) or Slope = 2.302*Discharge/(4*pi*Transmissibility). Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material & Transmissibility is most simply defined as the effective hydraulic conductivity of an aquifer or other water-bearing unit multiplied by the thickness of that unit.

How to calculate Equation for Slope of Line?

Equation for Slope of Line is defined from the plot of residual drawdown against the ratio of time of pumping and time since stoppage of pumping on semi-log is calculated using Slope = 2.302*Discharge/(4*pi*Transmissibility). To calculate Equation for Slope of Line, you need Discharge (Q) & Transmissibility (T). With our tool, you need to enter the respective value for Discharge & Transmissibility and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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